Sentence examples for both a formal proof from inspiring English sources

More work required in this mechanism in order to provide both a formal proof of privacy as well as an efficient implementation to include in Location Guard [23].  .

In this paper we provide a formal proof that Neighbor-Net satisfies both of these requirements so that, in particular, Neighbor-Net is statistically consistent on circular distances.

A formal proof of Eqs.

as statements with a formal proof.

For a formal proof, see Theorem 2.1.

lSee Appendix II for a formal proof.

Thus, I discuss the mechanism without presenting a formal proof.

A formal proof of Theorem 1 is provided in [9].

A formal proof can be found in Cornfeld et al. (1982, 9 10).

We propose a model slicing algorithm with a formal proof to address this problem.

A formal proof of total correctness, relying on structural induction, is also carried out.